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Volumn 40, Issue 3, 2004, Pages

First-order variance of travel time in nonstationary formations

Author keywords

Adjoint state method; First order second moment method; Nonstationarity; Periodic embedding; Travel time

Indexed keywords

ELECTRIC CONDUCTIVITY; FAST FOURIER TRANSFORMS; FLOW OF FLUIDS; GEOLOGY; HEATING; WAVE PROPAGATION;

EID: 2042497976     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003WR002851     Document Type: Article
Times cited : (22)

References (27)
  • 1
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks, A. N., and T. J. R. Hughes (1982), Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Eng., 32, 199-259.
    • (1982) Comput. Methods Appl. Mech. Eng. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 2
    • 0034306672 scopus 로고    scopus 로고
    • Sensitivities of temporal moments calculated by the adjoint-state method and joint inversing of head and tracer data
    • Cirpka, O. A., and P. K. Kitanidis (2000a), Sensitivities of temporal moments calculated by the adjoint-state method and joint inversing of head and tracer data, Adv. Water Resour., 24, 89-103.
    • (2000) Adv. Water Resour. , vol.24 , pp. 89-103
    • Cirpka, O.A.1    Kitanidis, P.K.2
  • 3
    • 0034028261 scopus 로고    scopus 로고
    • An advective-dispersive stream-tube approach for the transfer of conservative tracer data to reactive transport
    • Cirpka, O. A., and P. K. Kitanidis (2000b), An advective-dispersive stream-tube approach for the transfer of conservative tracer data to reactive transport, Water Resour. Res., 36, 1209-1220.
    • (2000) Water Resour. Res. , vol.36 , pp. 1209-1220
    • Cirpka, O.A.1    Kitanidis, P.K.2
  • 4
    • 0027061829 scopus 로고
    • A solute flux approach in transport in heterogeneous formations: 2. Uncertainty analysis
    • Cvetkovic, V. D., A. M. Shapiro, and G. Dagan (1992), A solute flux approach in transport in heterogeneous formations: 2. Uncertainty analysis, Water Resour. Res., 28, 1377-1388.
    • (1992) Water Resour. Res. , vol.28 , pp. 1377-1388
    • Cvetkovic, V.D.1    Shapiro, A.M.2    Dagan, G.3
  • 5
    • 0027086291 scopus 로고
    • A solute flux approach in transport in heterogeneous formations: 1. The general framework
    • Dagan, G., V. D. Cvetkovic, and A. Shapiro (1992), A solute flux approach in transport in heterogeneous formations: 1. The general framework, Water Resour. Res., 28, 1369-1376.
    • (1992) Water Resour. Res. , vol.28 , pp. 1369-1376
    • Dagan, G.1    Cvetkovic, V.D.2    Shapiro, A.3
  • 6
    • 0019392350 scopus 로고
    • First-order analysis of uncertainty in numerical models of groundwater flow: 1. Mathematical derivation
    • Dettinger, M., and J. Wilson (1981), First-order analysis of uncertainty in numerical models of groundwater flow: 1. Mathematical derivation, Water Resour. Res., 17, 149-161.
    • (1981) Water Resour. Res. , vol.17 , pp. 149-161
    • Dettinger, M.1    Wilson, J.2
  • 7
    • 0031173547 scopus 로고    scopus 로고
    • Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix
    • Dietrich, C., and G. Newsam (1997), Fast and exact simulation of stationary Gaussian processes through circulant embedding of the covariance matrix, SIAM J. Sci. Comput., 18, 1088-1107.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1088-1107
    • Dietrich, C.1    Newsam, G.2
  • 8
    • 0031899097 scopus 로고    scopus 로고
    • Correlation structure of flow variables for steady flow towards a well with application to highly anisotropic heterogeneous formations
    • Fiori, A., P. Indelman, and G. Dagan (1998), Correlation structure of flow variables for steady flow towards a well with application to highly anisotropic heterogeneous formations, Water Resour. Res., 34, 699-708.
    • (1998) Water Resour. Res. , vol.34 , pp. 699-708
    • Fiori, A.1    Indelman, P.2    Dagan, G.3
  • 10
    • 0029413184 scopus 로고
    • Temporal moment-generating equations: Modeling transport and mass-transfer in heterogeneous aquifers
    • Harvey, C. F., and S. M. Gorelick (1995), Temporal moment-generating equations: Modeling transport and mass-transfer in heterogeneous aquifers, Water Resour. Res., 31, 1895-1911.
    • (1995) Water Resour. Res. , vol.31 , pp. 1895-1911
    • Harvey, C.F.1    Gorelick, S.M.2
  • 11
    • 0029413084 scopus 로고
    • Flow in heterogeneous media displaying a linear trend in the log conductivity
    • Indelman, P., and Y. Rubin (1995), Flow in heterogeneous media displaying a linear trend in the log conductivity, Water Resour. Res., 31, 1257-1265.
    • (1995) Water Resour. Res. , vol.31 , pp. 1257-1265
    • Indelman, P.1    Rubin, Y.2
  • 12
    • 0034072301 scopus 로고    scopus 로고
    • Estimation of spatially variable residual nonaqueous phase liquid saturations in nonuniform flow fields using partitioning tracer data
    • James, A. I., W. D. Graham, K. Hatfield, P. S. C. Rao, and M. D. Annable (2000), Estimation of spatially variable residual nonaqueous phase liquid saturations in nonuniform flow fields using partitioning tracer data, Water Resour. Res., 36, 999-1012.
    • (2000) Water Resour. Res. , vol.36 , pp. 999-1012
    • James, A.I.1    Graham, W.D.2    Hatfield, K.3    Rao, P.S.C.4    Annable, M.D.5
  • 13
    • 0029413779 scopus 로고
    • Quasi-linear geostatistical theory for inversing
    • Kitanidis, P. K. (1995), Quasi-linear geostatistical theory for inversing, Water Resour. Res., 31, 2411-2419.
    • (1995) Water Resour. Res. , vol.31 , pp. 2411-2419
    • Kitanidis, P.K.1
  • 14
    • 0030433410 scopus 로고    scopus 로고
    • On the geostatistical approach to the inverse problem
    • Kitanidis, P. K. (1996), On the geostatistical approach to the inverse problem, Adv. Water Resour., 19, 333-342.
    • (1996) Adv. Water Resour. , vol.19 , pp. 333-342
    • Kitanidis, P.K.1
  • 15
    • 0024827927 scopus 로고
    • Groundwater travel time uncertainty analysis using sensitivity derivatives
    • LaVenue, M., R. W. Andrews, and B. S. RamaoRao (1989), Groundwater travel time uncertainty analysis using sensitivity derivatives, Water Resour. Res., 25, 1551-1566.
    • (1989) Water Resour. Res. , vol.25 , pp. 1551-1566
    • LaVenue, M.1    Andrews, R.W.2    RamaoRao, B.S.3
  • 16
    • 0029413399 scopus 로고
    • Using the nonstationary spectral method to analyze flow through heterogeneous trending media
    • Li, S.-G., and D. McLaughlin (1995), Using the nonstationary spectral method to analyze flow through heterogeneous trending media, Water Resour. Res., 31, 541-551.
    • (1995) Water Resour. Res. , vol.31 , pp. 541-551
    • Li, S.-G.1    McLaughlin, D.2
  • 17
    • 0242617471 scopus 로고    scopus 로고
    • Efficient computation of linearized cross-covariance and auto-covariance matrices of interdependent quantities
    • Nowak, W., S. Tenkleve, and O. Cirpka (2003), Efficient computation of linearized cross-covariance and auto-covariance matrices of interdependent quantities, Math. Geol., 35, 53-66.
    • (2003) Math. Geol. , vol.35 , pp. 53-66
    • Nowak, W.1    Tenkleve, S.2    Cirpka, O.3
  • 19
    • 0028667210 scopus 로고
    • The effects of recharge on flow nonuniformity and macrodispersion
    • Rubin, Y., and A. Bellin (1994), The effects of recharge on flow nonuniformity and macrodispersion, Water Resour. Res., 30, 939-948.
    • (1994) Water Resour. Res. , vol.30 , pp. 939-948
    • Rubin, Y.1    Bellin, A.2
  • 20
    • 0024194024 scopus 로고
    • Stochastical analysis of solute arrival time in heterogeneous porous media
    • Shapiro, A. M., and V. D. Cvetkovic (1988), Stochastical analysis of solute arrival time in heterogeneous porous media, Water Resour. Res., 24, 1711-1718.
    • (1988) Water Resour. Res. , vol.24 , pp. 1711-1718
    • Shapiro, A.M.1    Cvetkovic, V.D.2
  • 21
    • 0035282142 scopus 로고    scopus 로고
    • A review of algebraic multigrid
    • Stüben, K. (2001), A review of algebraic multigrid, J. Comput. Appl. Math., 128, 281-309.
    • (2001) J. Comput. Appl. Math. , vol.128 , pp. 281-309
    • Stüben, K.1
  • 22
    • 0025585963 scopus 로고
    • Coupled inverse problems in groundwater modeling: 1. Sensitivity analysis and parameter identification
    • Sun, N. Z., and W. W.-G. Yeh (1990), Coupled inverse problems in groundwater modeling: 1. Sensitivity analysis and parameter identification, Water Resour. Res., 26, 2507-2525.
    • (1990) Water Resour. Res. , vol.26 , pp. 2507-2525
    • Sun, N.Z.1    Yeh, W.W.-G.2
  • 23
    • 0022413796 scopus 로고
    • Computationally efficient algorithms for parameter estimation and uncertainty propagation in numerical models of groundwater flow
    • Townley, L. R., and J. L. Wilson (1985), Computationally efficient algorithms for parameter estimation and uncertainty propagation in numerical models of groundwater flow, Water Resour. Res., 21, 1851-1860.
    • (1985) Water Resour. Res. , vol.21 , pp. 1851-1860
    • Townley, L.R.1    Wilson, J.L.2
  • 24
    • 0035130701 scopus 로고    scopus 로고
    • Analyses of locally measured bromide breakthrough curves from a natural gradient tracer experiment at Krauthausen
    • Vanderborght, J., and H. Vereecken (2001), Analyses of locally measured bromide breakthrough curves from a natural gradient tracer experiment at Krauthausen, J. Contam. Hydrol., 48, 23-43.
    • (2001) J. Contam. Hydrol. , vol.48 , pp. 23-43
    • Vanderborght, J.1    Vereecken, H.2
  • 25
    • 0031931834 scopus 로고    scopus 로고
    • Numerical solutions to statistical moment equations of groundwater flow in nonstationary, bounded, heterogeneous media
    • Zhang, D. (1998), Numerical solutions to statistical moment equations of groundwater flow in nonstationary, bounded, heterogeneous media, Water Resour. Res., 34, 529-538.
    • (1998) Water Resour. Res. , vol.34 , pp. 529-538
    • Zhang, D.1
  • 27
    • 0033864106 scopus 로고    scopus 로고
    • Solute flux approach to transport through spatially nonstationary flow in porous media
    • Zhang, D., R. Andricevic, A. Y. Sun, X. Hu, and G. He (2000), Solute flux approach to transport through spatially nonstationary flow in porous media, Water Resour. Res., 36, 2107-2120.
    • (2000) Water Resour. Res. , vol.36 , pp. 2107-2120
    • Zhang, D.1    Andricevic, R.2    Sun, A.Y.3    Hu, X.4    He, G.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.